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Simplifying 4(x + -1) = 0.5(x + -8) Reorder the terms: 4(-1 + x) = 0.5(x + -8) (-1 * 4 + x * 4) = 0.5(x + -8) (-4 + 4x) = 0.5(x + -8) Reorder the terms: -4 + 4x = 0.5(-8 + x) -4 + 4x = (-8 * 0.5 + x * 0.5) -4 + 4x = (-4 + 0.5x) Add '4' to each side of the equation. -4 + 4 + 4x = -4 + 4 + 0.5x Combine like terms: -4 + 4 = 0 0 + 4x = -4 + 4 + 0.5x 4x = -4 + 4 + 0.5x Combine like terms: -4 + 4 = 0 4x = 0 + 0.5x 4x = 0.5x Solving 4x = 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 4x + -0.5x = 0.5x + -0.5x Combine like terms: 4x + -0.5x = 3.5x 3.5x = 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 3.5x = 0.0 Divide each side by '3.5'. x = 0 Simplifying x = 0
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